Geodesic
The method of the characteristic parallelogram of the solution of the second mixed problem for the one-dimensional wave equation
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 43-53.

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The authors of the article wrote the solution of the second mixed problem for the one-dimensional wave equation in the form of a formula convenient for numerical realization using the characteristic parallelogram. The derivation of this formula is based on the representation of the classical solution of the problem. 
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V. I. Korzyuk; S. N. Naumavets; V. P. Serikov. The method of the characteristic parallelogram of the solution of the second mixed problem for the one-dimensional wave equation. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 43-53. http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a7/

[1] Korzyuk V. I., “Metod kharakteristicheskogo parallelogramma na primere pervoi smeshannoi zadachi dlya odnomernogo volnovogo uravneniya”, Doklady NAN Belarusi, 61:1 (2017), 7–13 | MR | Zbl

[2] Korzyuk V. I., Kozlovskaya I. S., Klassicheskie resheniya dlya giperbolicheskikh uravnenii, v desyati chastyakh, v. 2, Minsk, 2017, 52 pp.

[3] Korzyuk V. I., Naumovets S. N., Kozlovskaya I. S., “Klassicheskie resheniya zadach dlya giperbolicheskikh uravnenii”, Studia i materialy EUIE w Warszawie, 2017, no. 2(10), 55–78

[4] Korzyuk V. I., Kozlovskaya I. S., “Ob usloviyakh soglasovaniya v granichnykh zadachakh dlya giperbolicheskikh uravnenii”, Doklady NAN Belarusi, 57:5 (2013), 37–42 | MR | Zbl

[5] Korzyuk V. I., Naumovets S. N., Sevastyuk V. A., “O klassicheskom reshenii vtoroi smeshannoi zadachi dlya odnomernogo volnovogo uravneniya”, Trudy instituta matematiki, 26:1 (2018), 37–44